A simulation of a simple, idealised, open loop boost converter running at a fixed frequency and duty cycle to see what the currents and voltages around it really do.
It shows how the commonly required circuit values, currents and parameters can be calculated and verifies them against the actual measured values.
As far as possible, the components in the circuit have been idealised.
The switch has negligible on resistance but has a defined, fixed voltage drop, Vq. The diode has negligible slope resistance but has a defined, fixed voltage drop, Vd.
The duty cycle is calculated from the specified input, output, switch and diode voltages.
Actual output voltage is compared against calculated voltages based on the basic simplified relationship given in places such as:
and a more accurate formula.
The inductance of L1 is calculated so that under worst case conditions, the current in the inductor never falls to less before the switch closes.
Note that the simulation has to run for long enough that the output has settled to a final value.